高维复域中具非正则奇异性的非线性偏微分方程的形式解 |
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引用本文: | 顾素萍,罗壮初,陈化.高维复域中具非正则奇异性的非线性偏微分方程的形式解[J].数学学报,2010,53(5):897-904. |
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作者姓名: | 顾素萍 罗壮初 陈化 |
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作者单位: | 武汉大学数学与统计学院 武汉 430072 |
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基金项目: | 国家自然科学基金资助项目(10401028) |
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摘 要: | 本文在C_t×C_x~n上研究一类一阶具非正则奇异性的非线性偏微分方程.在一定条件下,证明了其形式幂级数解属于形式Gevrey类,并给出了其Gevrey类指标的精确刻画.
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关 键 词: | 奇异偏微分方程 形式解 形式Gevrey类 |
收稿时间: | 2009-06-04 |
修稿时间: | 2009-03-16 |
Formal Solutions for First Order Nonlinear PDE with Irregular Singularity in High Dimensional Complex Domain |
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Institution: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China |
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Abstract: | In this paper, we study a class of first order nonlinear partial differential equation with irregular singularity in the domain . Under certain assumptions, we prove the existence and uniqueness of the formal solution in formal Gevrey class.
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Keywords: | singular partial differential equation formal solution formal Gevrey class |
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